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3x2 + 6x - 24
First factor out any common factors of the three terms. In this case, each term is a multiple of 3. So,
3x2 + 6x - 24 = 3(x2 + 2x - 8)
Next, use the reverse FOIL method to factor the polynomial in the parenthesis (x2 + 2x - 8). x2 factors out to x * x:
(x + ??)(x + ??)
Now, we must find two numbers that add to get 2 (from the 2x) and multiply to get -8. Those numbers are -2 and 4. So,
(x2 + 2x - 8) = (x - 2)(x + 4)
So,
3x2 + 6x - 24 = 3(x - 2)(x + 4)
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